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A wavelet finite-difference method for numerical simulation of wave propagation in fluid-saturated porous media

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Abstract

In this paper, we consider numerical simulation of wave propagation in fluid-saturated porous media. A wavelet finite-difference method is proposed to solve the 2-D elastic wave equation. The algorithm combines flexibility and computational efficiency of wavelet multi-resolution method with easy implementation of the finite-difference method. The orthogonal wavelet basis provides a natural framework, which adapt spatial grids to local wavefield properties. Numerical results show usefulness of the approach as an accurate and stable tool for simulation of wave propagation in fluid-saturated porous media.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Ying He  (贺英) & Bo Han  (韩波)

Authors
  1. Ying He  (贺英)
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  2. Bo Han  (韩波)
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Corresponding author

Correspondence to Ying He  (贺英).

Additional information

(Communicated by GUO Xing-ming)

Project supported by the National Natural Science Foundation of China (No. 40774056) and Program of Excellent Team in Harbin Institute of Technology

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He, Y., Han, B. A wavelet finite-difference method for numerical simulation of wave propagation in fluid-saturated porous media. Appl. Math. Mech.-Engl. Ed. 29, 1495–1504 (2008). https://doi.org/10.1007/s10483-008-1110-y

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  • DOI: https://doi.org/10.1007/s10483-008-1110-y

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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